Common Admission Test (CAT) Questions and Answers with Explanation

Q:

In the following question, select the missing number from the given series.

11, 14, 19, 22, 27, ?

A) 32	B) 31
C) 30	D) 33

Answer & Explanation Answer: C) 30

Explanation:

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Filed Under: Number Series
Exam Prep: Bank Exams , CAT

1 15891

Q:

A man lost half of its initial amount in the gambling after playing 3 rounds. The rule of gambling is that if he wins he will receive Rs. 100, but he has to give 50% of the total amount after each round.Luckily he won all the three rounds. The initial amount with which he had started the gambling was :

A) 500/3	B) 700/3
C) 300	D) 600

Answer & Explanation Answer: B) 700/3

Explanation:

Let the initial amount be x (with gambler), then

$[[(x + 100) \frac{1}{2} + 100] \frac{1}{2} + 100] \frac{1}{2} = \frac{x}{2}$

=> x = 700/3

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

21 15864

Q:

Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions ?

A) 10 sec	B) 11 sec
C) 12 sec	D) 8 sec

Answer & Explanation Answer: A) 10 sec

Explanation:

Relative Speed = 60 -40 = 20 x 5/18 = 100/18

Time = 50

Distance = 50 x 100/18 = 2500/9

Relative Speed = 60 + 40 = 100 x 5/18

Time = 2500/9 x 18/500 = 10 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

13 15844

Q:

Length of train is 170 meters and speed of train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge.

A) 355 mts	B) 325 mts
C) 365 mts	D) 312 mts

Answer & Explanation Answer: A) 355 mts

Explanation:

Given speed = 63 km/hr = $63 \times \frac{5}{18} = \frac{35}{2}$ m/s

Let the length of the bridge = x mts

Given time taken to cover the distance of (170 + x)mts is 30 sec.

We know speed = $\frac{d i s \tan c e}{t i m e}$ m/s

$\Rightarrow \frac{35}{2} = \frac{170 + x}{30}$

--> x = 355 mts.

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Filed Under: Problems on Trains
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

19 15815

Q:

Deepa started a business in 2009 by investing Rs.50,000. She invested Rs. 20,000 as additional amount in 2010 and her friend Sushma joined her with an amount of Rs.70,000. Deepa invested another Rs. 20,000 in 2011 and Avanthi joined them with Rs. 70,000. At the end of these 3 years, they earned a profit of Rs. 3,00,000. Find Sushma's share ?

A) Rs. 75,000	B) Rs. 85,000
C) Rs. 98,000	D) Rs. 1,00,000

Answer & Explanation Answer: D) Rs. 1,00,000

Explanation:

Deepa invested Rs.50,000 for 12 months, Rs.(50000 + 20000) for 12 months and Rs.(50000 + 20000 + 20000) for 12 months.
i.e, she invested Rs.50,000 for 12 months, Rs.70000 for 12 months and Rs.90000 for 12 months.
Sushma invested Rs. 70000 for 2 years; i.e, Rs.70000 for 24 months
And, Avanthi invested Rs.70000 for 1 year; i.e, Rs. 70000 for 12 months.

Their investing ratio:
Deepa : Sushma : Avanthi = (50,000 x 12 + 70000 x 12 + 90000 x 12):(70000 x 24):(70000 x 12)
= (25,20,000):(16,80,000):(8,40,000) = 252:168:84 = 3:2:1

Total profit for 3 years = Rs.3,00,000
Therefore, Sushma's share = Rs.(3,00,000 x 2 /(3+2+1)) = Rs.(3,00,000 x 2/6) = Rs.1,00,000.

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

5 15744

Q:

In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ?

A) 24 lit	B) 16 lit
C) 32 lit	D) 8 lit

Answer & Explanation Answer: C) 32 lit

Explanation:

Given mixture = 48 lit

Milk in it = 48 x 5/8 = 30 lit

=> Water in it = 48 - 30 = 18 lit

Let 'L' lit of water is added to make the ratio as 3:5

=> 30/(18+L) = 3/5

=> 150 = 54 + 3L

=> L = 32 lit.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

36 15731

Q:

Where is the Headquarter of ASEAN (Association of Southeast Asian Nations)?

A) Jakarta	B) Beijing
C) Newyork	D) Da Nang

Answer & Explanation Answer: A) Jakarta

Explanation:

The ASEAN Headquarters is located in Jakarta, Indonesia.

ASEAN is The Association of Southeast Asian Nations is a group of ten Southeast Asian countries. It was formed on 8th August 1967. The 10 countries in ASEAN are Indonesia, Malaysia, Philippines, Singapore, Brunei, Myanmar, Cambodia, Laos, Vietnam and Thailand.

Its main purpose include the acceleration of economic growth, social progress, cultural development among its members, the protection of the peace and stability of the region, and to provide opportunities for member countries to discuss differences peacefully.

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Filed Under: World Organisations
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

26 15710

Q:

Q's mother is sister of P and daughter of M. S is daughter of P and sister of T.How is M related to T?

A) Father	B) Grandfather
C) Grandmother	D) Either Grandmother or Grandfather

Answer & Explanation Answer: D) Either Grandmother or Grandfather

Explanation:

Q's mother is sister of P & daughter of M.[sex of P and M are not clear]

S is daughter of P and sister of T. [sex of P and T is not clear]

M's children : Q's mother and P

P's children :S[female] and T

M is either Grandmother or Grandfather of T

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Filed Under: Blood Relations
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

98 15688

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